Linear Equations Algebra 1

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

y = 4x + 2

Front

What is the equation of a line parallel to y = 5x + 7 with a y-intercept at (0, -2)?

Back

y = 5x - 2

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = mx + b.

Front

What is the graph of the equation y = -x + 2?

Back

The graph is a straight line with a slope of -1 and a y-intercept at (0, 2).

Front

Write the equation for the line in slope-intercept form with a slope of 4 and y-intercept of 3.

Back

y = 4x + 3

Front

What is the slope of the line represented by the equation y = 12x + 10?

Back

The slope is 12.